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Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
68
votes
Zagier's one-sentence proof of a theorem of Fermat
As the answers above linked to an old paper of mine (in German, and a somewhat
different English preprint), some readers might like to know that an updated version is to appear very soon and is now li …